Equation in Standard Form

Hyperbola of Class 11

Equation in standard form

hyperbola = 1 where b2 = a2(e2 − 1).

(a) Centre (0, 0)

(b) foci (±ae, 0)

(c) Directrices are x = ± a/e

(d) Vertices are (±a, 0)

(e) Equation of transverse axis is y = 0. Length of transverse axis = 2a

(f) Equation of conjugate axis is x = 0, length of conjugate axis is 2b.

(g) Length of Latus Rectum is 2b2/a.

hyperbola

 

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